In set theory and related branches of mathematics, a collection F of subsets of a given set S is called a family of subsets of S, or a family of sets over S. More generally, a collection of any sets whatsoever is called a family of sets.
The term "collection" is used here because, in some contexts, a family of sets may be allowed to contain repeated copies of any given member, and in other contexts it may form a proper class rather than a set.
Read more about Family Of Sets: Examples, Properties, Hall's Marriage Theorem, Related Concepts
Famous quotes containing the words family and/or sets:
“Fathers should be neither seen nor heard. That is the only proper basis for family life.”
—Oscar Wilde (1854–1900)
“The poem has a social effect of some kind whether or not the poet wills it to have. It has kinetic force, it sets in motion ... [ellipsis in source] elements in the reader that would otherwise be stagnant.”
—Denise Levertov (b. 1923)